{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ee1b9111",
   "metadata": {},
   "source": [
    "## Generating a cumulative return series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e30c433d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from IPython.display import display\n",
    "from openbb import obb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7e26609a",
   "metadata": {},
   "outputs": [],
   "source": [
    "obb.user.preferences.output_type = \"dataframe\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d5eb883",
   "metadata": {},
   "source": [
    "Fetches historical price data for the equity \"AAPL\" starting from 2021-01-01 using the \"yfinance\" provider and stores it in 'df'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d9c44512",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = obb.equity.price.historical(\"AAPL\", start_date=\"2021-01-01\", provider=\"yfinance\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4a30abb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>volume</th>\n",
       "      <th>split_ratio</th>\n",
       "      <th>dividend</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-01-04</th>\n",
       "      <td>133.520004</td>\n",
       "      <td>133.610001</td>\n",
       "      <td>126.760002</td>\n",
       "      <td>129.410004</td>\n",
       "      <td>143301900</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-01-05</th>\n",
       "      <td>128.889999</td>\n",
       "      <td>131.740005</td>\n",
       "      <td>128.429993</td>\n",
       "      <td>131.009995</td>\n",
       "      <td>97664900</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-01-06</th>\n",
       "      <td>127.720001</td>\n",
       "      <td>131.050003</td>\n",
       "      <td>126.379997</td>\n",
       "      <td>126.599998</td>\n",
       "      <td>155088000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-01-07</th>\n",
       "      <td>128.360001</td>\n",
       "      <td>131.630005</td>\n",
       "      <td>127.860001</td>\n",
       "      <td>130.919998</td>\n",
       "      <td>109578200</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-01-08</th>\n",
       "      <td>132.429993</td>\n",
       "      <td>132.630005</td>\n",
       "      <td>130.229996</td>\n",
       "      <td>132.050003</td>\n",
       "      <td>105158200</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-06-10</th>\n",
       "      <td>196.899994</td>\n",
       "      <td>197.300003</td>\n",
       "      <td>192.149994</td>\n",
       "      <td>193.119995</td>\n",
       "      <td>97262100</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-06-11</th>\n",
       "      <td>193.649994</td>\n",
       "      <td>207.160004</td>\n",
       "      <td>193.630005</td>\n",
       "      <td>207.149994</td>\n",
       "      <td>172373300</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-06-12</th>\n",
       "      <td>207.369995</td>\n",
       "      <td>220.199997</td>\n",
       "      <td>206.899994</td>\n",
       "      <td>213.070007</td>\n",
       "      <td>198134300</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-06-13</th>\n",
       "      <td>214.740005</td>\n",
       "      <td>216.750000</td>\n",
       "      <td>211.600006</td>\n",
       "      <td>214.240005</td>\n",
       "      <td>97862700</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-06-14</th>\n",
       "      <td>213.850006</td>\n",
       "      <td>215.169998</td>\n",
       "      <td>211.300003</td>\n",
       "      <td>212.490005</td>\n",
       "      <td>69175600</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>868 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                  open        high         low       close     volume  \\\n",
       "date                                                                    \n",
       "2021-01-04  133.520004  133.610001  126.760002  129.410004  143301900   \n",
       "2021-01-05  128.889999  131.740005  128.429993  131.009995   97664900   \n",
       "2021-01-06  127.720001  131.050003  126.379997  126.599998  155088000   \n",
       "2021-01-07  128.360001  131.630005  127.860001  130.919998  109578200   \n",
       "2021-01-08  132.429993  132.630005  130.229996  132.050003  105158200   \n",
       "...                ...         ...         ...         ...        ...   \n",
       "2024-06-10  196.899994  197.300003  192.149994  193.119995   97262100   \n",
       "2024-06-11  193.649994  207.160004  193.630005  207.149994  172373300   \n",
       "2024-06-12  207.369995  220.199997  206.899994  213.070007  198134300   \n",
       "2024-06-13  214.740005  216.750000  211.600006  214.240005   97862700   \n",
       "2024-06-14  213.850006  215.169998  211.300003  212.490005   69175600   \n",
       "\n",
       "            split_ratio  dividend  \n",
       "date                               \n",
       "2021-01-04          0.0       0.0  \n",
       "2021-01-05          0.0       0.0  \n",
       "2021-01-06          0.0       0.0  \n",
       "2021-01-07          0.0       0.0  \n",
       "2021-01-08          0.0       0.0  \n",
       "...                 ...       ...  \n",
       "2024-06-10          0.0       0.0  \n",
       "2024-06-11          0.0       0.0  \n",
       "2024-06-12          0.0       0.0  \n",
       "2024-06-13          0.0       0.0  \n",
       "2024-06-14          0.0       0.0  \n",
       "\n",
       "[868 rows x 7 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "091b4afe",
   "metadata": {},
   "source": [
    "Selects the 'close' column from 'df' and stores it in 'close'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9f0c5ec7",
   "metadata": {},
   "outputs": [],
   "source": [
    "close = df[\"close\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b67c83c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04    129.410004\n",
       "2021-01-05    131.009995\n",
       "2021-01-06    126.599998\n",
       "2021-01-07    130.919998\n",
       "2021-01-08    132.050003\n",
       "                 ...    \n",
       "2024-06-10    193.119995\n",
       "2024-06-11    207.149994\n",
       "2024-06-12    213.070007\n",
       "2024-06-13    214.240005\n",
       "2024-06-14    212.490005\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(close)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e27daf6a",
   "metadata": {},
   "source": [
    "Calculates the percentage change of the 'close' prices and stores it in 'returns'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "37e51bf2",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = close.pct_change()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "88e4aa7d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04         NaN\n",
       "2021-01-05    0.012364\n",
       "2021-01-06   -0.033662\n",
       "2021-01-07    0.034123\n",
       "2021-01-08    0.008631\n",
       "                ...   \n",
       "2024-06-10   -0.019148\n",
       "2024-06-11    0.072649\n",
       "2024-06-12    0.028578\n",
       "2024-06-13    0.005491\n",
       "2024-06-14   -0.008168\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1265935b",
   "metadata": {},
   "source": [
    "Replaces NaN values in 'returns' with 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "00edc11b",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns[np.isnan(returns)] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "37a9b950",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04    0.000000\n",
       "2021-01-05    0.012364\n",
       "2021-01-06   -0.033662\n",
       "2021-01-07    0.034123\n",
       "2021-01-08    0.008631\n",
       "                ...   \n",
       "2024-06-10   -0.019148\n",
       "2024-06-11    0.072649\n",
       "2024-06-12    0.028578\n",
       "2024-06-13    0.005491\n",
       "2024-06-14   -0.008168\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fb0d57f",
   "metadata": {},
   "source": [
    "Adds 1 to the 'returns' to prepare for cumulative product calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4437cfbb",
   "metadata": {},
   "outputs": [],
   "source": [
    "returns += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "10199260",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04    1.000000\n",
       "2021-01-05    1.012364\n",
       "2021-01-06    0.966338\n",
       "2021-01-07    1.034123\n",
       "2021-01-08    1.008631\n",
       "                ...   \n",
       "2024-06-10    0.980852\n",
       "2024-06-11    1.072649\n",
       "2024-06-12    1.028578\n",
       "2024-06-13    1.005491\n",
       "2024-06-14    0.991832\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e5127c0",
   "metadata": {},
   "source": [
    "Calculates the cumulative returns and subtracts 1 to get the final cumulative returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2598e5ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "cumulative_returns = returns.cumprod() - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "21b76e63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04    0.000000\n",
       "2021-01-05    0.012364\n",
       "2021-01-06   -0.021714\n",
       "2021-01-07    0.011668\n",
       "2021-01-08    0.020400\n",
       "                ...   \n",
       "2024-06-10    0.492311\n",
       "2024-06-11    0.600726\n",
       "2024-06-12    0.646472\n",
       "2024-06-13    0.655513\n",
       "2024-06-14    0.641991\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(cumulative_returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b79370dc",
   "metadata": {},
   "source": [
    "Plots the cumulative returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8c31b7b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='date'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cumulative_returns.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71c74cd1",
   "metadata": {},
   "source": [
    "Calculates the log returns of 'close' prices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d7ddf571",
   "metadata": {},
   "outputs": [],
   "source": [
    "log_returns = np.log(close / close.shift())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "190af9ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04         NaN\n",
       "2021-01-05    0.012288\n",
       "2021-01-06   -0.034241\n",
       "2021-01-07    0.033554\n",
       "2021-01-08    0.008594\n",
       "                ...   \n",
       "2024-06-10   -0.019333\n",
       "2024-06-11    0.070131\n",
       "2024-06-12    0.028178\n",
       "2024-06-13    0.005476\n",
       "2024-06-14   -0.008202\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(log_returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdf741c0",
   "metadata": {},
   "source": [
    "Calculates the cumulative sum of the log returns to get the cumulative log returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "9016e050",
   "metadata": {},
   "outputs": [],
   "source": [
    "cumulative_log_returns = log_returns.cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1931871f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-01-04         NaN\n",
       "2021-01-05    0.012288\n",
       "2021-01-06   -0.021953\n",
       "2021-01-07    0.011601\n",
       "2021-01-08    0.020195\n",
       "                ...   \n",
       "2024-06-10    0.400326\n",
       "2024-06-11    0.470457\n",
       "2024-06-12    0.498635\n",
       "2024-06-13    0.504111\n",
       "2024-06-14    0.495909\n",
       "Name: close, Length: 868, dtype: float64"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(cumulative_log_returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75f09f4b",
   "metadata": {},
   "source": [
    "Plots the cumulative log returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "8a81f919",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='date'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cumulative_log_returns.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12fc490f",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2ffaf047-b29b-4266-9898-e0dc9500027c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
   "notebook_metadata_filter": "-all"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
